Final answer to the problem
$x\geq \frac{3}{4}$
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Step-by-step Solution
How should I solve this problem?
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- Prodotto di binomi con termine comune
- Metodo FOIL
- Sostituzione di Weierstrass
- Dimostrare dal LHS (lato sinistro)
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1
Apply the formula: $a\geq b+x$$=a-x\geq b$, where $a=\left(2x+5\right)\left(2x-3\right)$, $b=-12$ and $x=3x$
$\left(2x+5\right)\left(2x-3\right)-3x\geq -12$
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$\left(2x+5\right)\left(2x-3\right)-3x\geq -12$
Learn how to solve problems step by step online. Solve the inequality (2x+5)(2x-3)>=3x-12. Apply the formula: a\geq b+x=a-x\geq b, where a=\left(2x+5\right)\left(2x-3\right), b=-12 and x=3x. Multiply the single term 2x-3 by each term of the polynomial \left(2x+5\right). Multiply the single term 5 by each term of the polynomial \left(2x-3\right). Combining like terms 10x and -3x.
Final answer to the problem
$x\geq \frac{3}{4}$
